Three charges each of value $+q$ are placed at the corners of an isosceles triangle $\mathrm{ABC}$ of sides $\mathrm{AB}$ and $\mathrm{AC}$ each equal to $2 \mathrm{a}$. The mid points of $A B$ and $A C$ are $D$ and $E$ respectively. The work done in taking a charge $\mathrm{Q}$ from $\mathrm{D}$…

Question

Three charges each of value $+q$ are placed at the corners of an isosceles triangle $\mathrm{ABC}$ of sides $\mathrm{AB}$ and $\mathrm{AC}$ each equal to $2 \mathrm{a}$. The mid points of $A B$ and $A C$ are $D$ and $E$ respectively. The work done in taking a charge $\mathrm{Q}$ from $\mathrm{D}$ to $\mathrm{E}$ is $\left(\varepsilon_0=\right.$ permittivity of free space)

Aicharya · Accepted Answer

$\begin{aligned} & 	ext { Given } A B=A C=2 a \ & V_D=V_E \quad(\because D 	ext { and } E 	ext { are mid-points }) \end{aligned}$ $	herefore \quad$ The work done in taking a charge $\mathrm{q}$ from $\mathrm{D}$ to $\mathrm{E}$ is $\begin{array}{rlrl} & W=q \Delta V=q\left(V_D-V_Eight) \ 	herefore \quad & W=0 & 	ext { (Equipotential surfaces) } \end{array}$

Three charges each of value $+q$ are placed at the corners of an isosceles triangle $\mathrm{ABC}$ of sides…

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